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Question

A vertex of a graph is called odd or even depending on whether -

A
Total number of edges in graph is odd or even
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B
Total number of vertices in graph is odd or even
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C
Its degree is odd or even
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D
None of these
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Solution

The correct option is B Its degree is odd or even

A vertex of a graph is called odd or even depending on whether its degree is odd or even.

If the degreeof a vertex is even the vertex is called an even vertex. If the degree of the vertex is odd, the vertex is called an odd vertex.

The degree of a vertex of a graph is the number of edges incident to the vertex, with loops counted twice.

A graph is a collection of nodes and edges each connecting a pair of nodes.


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